Robust congestion pricing under boundedly rational user equilibrium

Yingyan Lou, Yafeng Yin and Siriphong Lawphongpanich

Transportation Research Part B: Methodological, 2010, vol. 44, issue 1, 15-28

Abstract: This paper investigates congestion pricing strategies in static networks with boundedly rational route choice behavior. Under such behavior, users do not necessarily choose a shortest or cheapest route when doing so does not reduce their travel times by a significant amount. A general path-based definition and a more restrictive link-based representation of boundedly rational user equilibrium (BRUE) are presented. The set of BRUE flow distributions is generally non-convex and non-empty. The problems of finding best- and worst-case BRUE flow distributions are formulated and solved as mathematical programs with complementarity constraints. Because alternative tolled BRUE flow distributions exist, our congestion pricing models seek a toll vector or pattern that minimizes the system travel time of the worst-case tolled BRUE flow distribution. As formulated, the models are generalized semi-infinite min-max problems and we propose a heuristic algorithm based on penalization and a cutting-plane scheme to solve them. Numerical examples are presented to illustrate key concepts and results.

Keywords: Boundedly; rational; user; equilibrium; Network; modeling; Congestion; pricing; Robust; optimization (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (50)

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